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Your search keyword '"Banach function algebra"' showing total 4 results
Start Over Descriptor "Banach function algebra" Journal transactions of the american mathematical society
4 results on '"Banach function algebra"'

1. OPERATOR ALGEBRAS WITH CONTRACTIVE APPROXIMATE IDENTITIES: A LARGE OPERATOR ALGEBRA IN c0.

Author

BLECHER, DAVID P. and READ, CHARLES JOHN

Subjects
*COMMUTATIVE algebra, *COMMUTATIVE law (Mathematics), *OPERATOR theory, *CALCULUS, *APPROXIMATION theory
Abstract

We exhibit a singly generated, semisimple commutative operator algebra with a contractive approximate identity such that the spectrum of the generator is a null sequence and zero, but the algebra is not the closed linear span of the idempotents associated with the null sequence and obtained from the analytic functional calculus. Moreover the multiplication on the algebra is neither compact nor weakly compact. Thus we construct a 'large' operator algebra of orthogonal idempotents, which may be viewed as a dense subalgebra of c0. [ABSTRACT FROM AUTHOR]

Published
2016
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2. OPERATOR ALGEBRAS WITH CONTRACTIVE APPROXIMATE IDENTITIES: A LARGE OPERATOR ALGEBRA IN c0.

Author

BLECHER, DAVID P. and READ, CHARLES JOHN

Subjects
COMMUTATIVE algebra, COMMUTATIVE law (Mathematics), OPERATOR theory, CALCULUS, APPROXIMATION theory
Abstract

We exhibit a singly generated, semisimple commutative operator algebra with a contractive approximate identity such that the spectrum of the generator is a null sequence and zero, but the algebra is not the closed linear span of the idempotents associated with the null sequence and obtained from the analytic functional calculus. Moreover the multiplication on the algebra is neither compact nor weakly compact. Thus we construct a 'large' operator algebra of orthogonal idempotents, which may be viewed as a dense subalgebra of c0. [ABSTRACT FROM AUTHOR]

Published
2016
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3. Range transformations on a Banach function algebra

Author

Osamu Hatori

Subjects
Algebra, Banach function algebra, Range (mathematics), Applied Mathematics, General Mathematics, Subalgebra, Mathematics
Abstract

We study the range transformations Op ⁡ ( A D , Re ⁡ B ) \operatorname {Op} ({A_{D,}}\operatorname {Re} B) and Op ⁡ ( A D , B ) \operatorname {Op} ({A_D},B) for Banach function algebras A A and B B . As a special instance, the harmonicity of functions in Op ⁡ ( A D , Re ⁡ A ) \operatorname {Op} ({A_D},\operatorname {Re} A) for a nontrivial function algebra A A is established and is compared with previous investigations of Op ⁡ ( A D , A ) \operatorname {Op} ({A_D},A) and Op ⁡ ( ( Re ⁡ A ) I , ( Re ⁡ A ) ) \operatorname {Op} ({(\operatorname {Re} A)_I},(\operatorname {Re} A)) for an interval I I . In § 2 \S 2 we present some results on Op ⁡ ( A D , B ) \operatorname {Op} ({A_D},B) and use them to show that functions in Op C ( A D , B ) {\operatorname {Op} ^C}({A_D},B) are analytic for certain Banach function algebras.

Published
1986
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